On-demand availability and resource elasticity features of Cloud computing have attracted the focus of various research domains.Mobile cloud computing is one of these domains where complex computation tasks are offloa...On-demand availability and resource elasticity features of Cloud computing have attracted the focus of various research domains.Mobile cloud computing is one of these domains where complex computation tasks are offloaded to the cloud resources to augment mobile devices’cognitive capacity.However,the flexible provisioning of cloud resources is hindered by uncertain offloading workloads and significant setup time of cloud virtual machines(VMs).Furthermore,any delays at the cloud end would further aggravate the miseries of real-time tasks.To resolve these issues,this paper proposes an auto-scaling framework(ACF)that strives to maintain the quality of service(QoS)for the end users as per the service level agreement(SLA)negotiated assurance level for service availability.In addition,it also provides an innovative solution for dealing with the VM startup overheads without truncating the running tasks.Unlike the waiting cost and service cost tradeoff-based systems or threshold-rule-based systems,it does not require strict tuning in the waiting costs or in the threshold rules for enhancing the QoS.We explored the design space of the ACF system with the CloudSim simulator.The extensive sets of experiments demonstrate the effectiveness of the ACF system in terms of good reduction in energy dissipation at the mobile devices and improvement in the QoS.At the same time,the proposed ACF system also reduces the monetary costs of the service providers.展开更多
Background: Rabies is a dreaded disease and an estimated 55,000 people die of rabies every year. Himachal Pradesh is in the North bordering China and is predominantly rural and hilly. Villages are near forests, where ...Background: Rabies is a dreaded disease and an estimated 55,000 people die of rabies every year. Himachal Pradesh is in the North bordering China and is predominantly rural and hilly. Villages are near forests, where wild reservoirs of rabies exist. Since health facilities are not accessible easily, we need to innovate on existing schedules of rabies vaccination keeping in view the compliance of the patients and affordability so as to give them the best possible option of treatment. In the year 2006 and 2007, we, at DDU Hospital Shimla, experienced a severe shortage of rabies vaccine and patients were running from pillar to post to fetch rabies vaccine. At the same time, we learnt that some of the patients died because either they were not able to purchase the vaccine, mostly because of its high cost, $35, or they ignored the animal bites and did not seek the treatment. Since last year, we have been experiencing non-availability of rabies immunoglobulins (RIGs) in the market and have to innovate new schedules and techniques to save lives of the patients. Methods: During shortage of rabies vaccine in 2008, we contemplated to start a low cost intra-dermal (ID) clinic so as to make rabies vaccine affordable as intramuscular (IM) vaccination cost five times more than ID vaccination. But, there were three main hurdles. One hurdle was the non-availability of rabies vaccine vials having written on them “For IM/ID use” and another hurdle was only fewer animal bite patients attending the DDU Hospital, sometimes only one or two per day, which was insufficient to open a vaccine vial and distribute among them. The third problem being faced was reluctance of the hospital doctors to prescribe ID vaccine as this was not the practice at higher teaching institutions, including medical colleges. We contacted a vaccine company and few vials labeled as “For IM/ID use” were sourced from Mumbai (1200 km away from here). We asked the Chief Medical Officer, Shimla district to write a letter to all health facilities around our Hospital to give first aid to animal bite patients and then refer them to DDU Hospital for vaccination. Now we were able to pool the patients and divide a single 1 ml vaccine vial among four patients. After continuous advocacy, our stress that WHO has given its approval for ID use of rabies vaccine and that subsequent approval has been granted by Government of India was enough for doctors to prescribe the vaccine as ID. Last Year, we got ethical approval to inject rabies Immunoglobulins (RIGs) only locally in and around the wound at times of scarcity of RIGs in the market. The subsequent follow up of patients proved life saving in crisis of shortage of RIGs. Due to shortage of RIGs we innovatively vaccinated people bitten by rabid dogs or people who had consumed rabid cow’s milk and followed them for outcome, apart from having Rabies Fluorescent Focus Inhibition Test (RFFIT) was done for few of the patiens for verification of protective titers. We innovated a technique of extraction of last drop of vaccine from the vial and also saved a drop of RIGs being used for test dose before giving RIGs to the patients. Results: The first low cost anti-rabies clinic was started on August 2, 2008 after long advocacy sessions with the authorities and the doctors. Since then, we have done many innovations based on local requirements and patients’ feedback and accessibility to treatment. We have given pre and post-exposure prophylaxis to more than 12,000 animal bite victims over more than five years period in this single clinic, saving lives as well as money without any failure even in difficult rabid animal bite cases. Our innovation helped us save the vaccine and immunoglobulins till the last drop. Conclusions: Innovative ways by health providers backed by extensive literature review and scientific evidence can help patients get low cost health deliverables that increase their compliance as medicines/vaccines become affordable to them. Third world countries need to innovate their own ways to solve their problems of scanty resources and find innovative solutions to conquer them, rather than looking elsewhere for solutions.展开更多
The enhanced power graph Pe(G)of a finite group G is the simple undirected graph whose vertex set is G and two distinct vertices x,y are adjacent if x,y∈(z)for some z∈G.We give an affirmative answer to the question ...The enhanced power graph Pe(G)of a finite group G is the simple undirected graph whose vertex set is G and two distinct vertices x,y are adjacent if x,y∈(z)for some z∈G.We give an affirmative answer to the question posed by Cameron which asks whether the complement of the enhanced power graph P_(E)(G)of a non-cyclic group G,P_(E)(G),has only one connected component apart from isolated vertices.We classify all finite groups G for which P_(E)(G)is bipartite.We show that the graph P_(E)(G)is weakly perfect.Further,we study the subgraph P_(E)(G^(*))of P_(E)(G)induced by all the non-isolated vertices of P_(E)(G).We classify all finite groups G with the graph P_(E)(G^(*))being unicyclic and pentacyclic,and we prove the non-existence of finite groups G such that the graph P_(E)(G^(*))is bicyclic,tricyclic or tetracyclic.Finally,we characterize all finite groups G for which the graph P_(E)(G^(*))is outerplanar,planar,projective-planar and toroidal separately.展开更多
The inclusion ideal graph In(S)of a semigroup S is an undirected simple graph whose vertices are all the nontrivial left ideals of S and two distinct left ideals I,J are adjacent if and only if either I⊂J or J⊂I.The p...The inclusion ideal graph In(S)of a semigroup S is an undirected simple graph whose vertices are all the nontrivial left ideals of S and two distinct left ideals I,J are adjacent if and only if either I⊂J or J⊂I.The purpose of this paper is to study algebraic properties of the semigroup S as well as graph theoretic properties of In(S).We investigate the connectedness of In(S)and show that the diameter of In(S)is at most 3 if it is connected.We also obtain a necessary and sufficient condition of S such that the clique number of In(S)is the number of minimal left ideals of S.Further,various graph invariants of In(S),viz.perfectness,planarity,girth,etc.,are discussed.For a completely simple semigroup S,we investigate properties of In(S)including its independence number and matching number.Finally,we obtain the automorphism group of In(S).展开更多
基金This research work is funded by TEQIP-III under Assistantship Head:1.3.2.2 in PFMS dated 29.06.2021.
文摘On-demand availability and resource elasticity features of Cloud computing have attracted the focus of various research domains.Mobile cloud computing is one of these domains where complex computation tasks are offloaded to the cloud resources to augment mobile devices’cognitive capacity.However,the flexible provisioning of cloud resources is hindered by uncertain offloading workloads and significant setup time of cloud virtual machines(VMs).Furthermore,any delays at the cloud end would further aggravate the miseries of real-time tasks.To resolve these issues,this paper proposes an auto-scaling framework(ACF)that strives to maintain the quality of service(QoS)for the end users as per the service level agreement(SLA)negotiated assurance level for service availability.In addition,it also provides an innovative solution for dealing with the VM startup overheads without truncating the running tasks.Unlike the waiting cost and service cost tradeoff-based systems or threshold-rule-based systems,it does not require strict tuning in the waiting costs or in the threshold rules for enhancing the QoS.We explored the design space of the ACF system with the CloudSim simulator.The extensive sets of experiments demonstrate the effectiveness of the ACF system in terms of good reduction in energy dissipation at the mobile devices and improvement in the QoS.At the same time,the proposed ACF system also reduces the monetary costs of the service providers.
文摘Background: Rabies is a dreaded disease and an estimated 55,000 people die of rabies every year. Himachal Pradesh is in the North bordering China and is predominantly rural and hilly. Villages are near forests, where wild reservoirs of rabies exist. Since health facilities are not accessible easily, we need to innovate on existing schedules of rabies vaccination keeping in view the compliance of the patients and affordability so as to give them the best possible option of treatment. In the year 2006 and 2007, we, at DDU Hospital Shimla, experienced a severe shortage of rabies vaccine and patients were running from pillar to post to fetch rabies vaccine. At the same time, we learnt that some of the patients died because either they were not able to purchase the vaccine, mostly because of its high cost, $35, or they ignored the animal bites and did not seek the treatment. Since last year, we have been experiencing non-availability of rabies immunoglobulins (RIGs) in the market and have to innovate new schedules and techniques to save lives of the patients. Methods: During shortage of rabies vaccine in 2008, we contemplated to start a low cost intra-dermal (ID) clinic so as to make rabies vaccine affordable as intramuscular (IM) vaccination cost five times more than ID vaccination. But, there were three main hurdles. One hurdle was the non-availability of rabies vaccine vials having written on them “For IM/ID use” and another hurdle was only fewer animal bite patients attending the DDU Hospital, sometimes only one or two per day, which was insufficient to open a vaccine vial and distribute among them. The third problem being faced was reluctance of the hospital doctors to prescribe ID vaccine as this was not the practice at higher teaching institutions, including medical colleges. We contacted a vaccine company and few vials labeled as “For IM/ID use” were sourced from Mumbai (1200 km away from here). We asked the Chief Medical Officer, Shimla district to write a letter to all health facilities around our Hospital to give first aid to animal bite patients and then refer them to DDU Hospital for vaccination. Now we were able to pool the patients and divide a single 1 ml vaccine vial among four patients. After continuous advocacy, our stress that WHO has given its approval for ID use of rabies vaccine and that subsequent approval has been granted by Government of India was enough for doctors to prescribe the vaccine as ID. Last Year, we got ethical approval to inject rabies Immunoglobulins (RIGs) only locally in and around the wound at times of scarcity of RIGs in the market. The subsequent follow up of patients proved life saving in crisis of shortage of RIGs. Due to shortage of RIGs we innovatively vaccinated people bitten by rabid dogs or people who had consumed rabid cow’s milk and followed them for outcome, apart from having Rabies Fluorescent Focus Inhibition Test (RFFIT) was done for few of the patiens for verification of protective titers. We innovated a technique of extraction of last drop of vaccine from the vial and also saved a drop of RIGs being used for test dose before giving RIGs to the patients. Results: The first low cost anti-rabies clinic was started on August 2, 2008 after long advocacy sessions with the authorities and the doctors. Since then, we have done many innovations based on local requirements and patients’ feedback and accessibility to treatment. We have given pre and post-exposure prophylaxis to more than 12,000 animal bite victims over more than five years period in this single clinic, saving lives as well as money without any failure even in difficult rabid animal bite cases. Our innovation helped us save the vaccine and immunoglobulins till the last drop. Conclusions: Innovative ways by health providers backed by extensive literature review and scientific evidence can help patients get low cost health deliverables that increase their compliance as medicines/vaccines become affordable to them. Third world countries need to innovate their own ways to solve their problems of scanty resources and find innovative solutions to conquer them, rather than looking elsewhere for solutions.
基金support of CSIR(09/719(0110)/2019-EMR-I),government of Indiasupport from SERB(Core Research Grant(CRG/2022/001142)),government of India.
文摘The enhanced power graph Pe(G)of a finite group G is the simple undirected graph whose vertex set is G and two distinct vertices x,y are adjacent if x,y∈(z)for some z∈G.We give an affirmative answer to the question posed by Cameron which asks whether the complement of the enhanced power graph P_(E)(G)of a non-cyclic group G,P_(E)(G),has only one connected component apart from isolated vertices.We classify all finite groups G for which P_(E)(G)is bipartite.We show that the graph P_(E)(G)is weakly perfect.Further,we study the subgraph P_(E)(G^(*))of P_(E)(G)induced by all the non-isolated vertices of P_(E)(G).We classify all finite groups G with the graph P_(E)(G^(*))being unicyclic and pentacyclic,and we prove the non-existence of finite groups G such that the graph P_(E)(G^(*))is bicyclic,tricyclic or tetracyclic.Finally,we characterize all finite groups G for which the graph P_(E)(G^(*))is outerplanar,planar,projective-planar and toroidal separately.
文摘The inclusion ideal graph In(S)of a semigroup S is an undirected simple graph whose vertices are all the nontrivial left ideals of S and two distinct left ideals I,J are adjacent if and only if either I⊂J or J⊂I.The purpose of this paper is to study algebraic properties of the semigroup S as well as graph theoretic properties of In(S).We investigate the connectedness of In(S)and show that the diameter of In(S)is at most 3 if it is connected.We also obtain a necessary and sufficient condition of S such that the clique number of In(S)is the number of minimal left ideals of S.Further,various graph invariants of In(S),viz.perfectness,planarity,girth,etc.,are discussed.For a completely simple semigroup S,we investigate properties of In(S)including its independence number and matching number.Finally,we obtain the automorphism group of In(S).
