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SIMULATED ANNEALING BASED POLYNOMIAL TIME QOS ROUTING ALGORITHM FOR MANETS
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作者 Liu Lianggui Feng Guangzeng 《Journal of Electronics(China)》 2006年第5期691-697,共7页
Multi-constrained Quality-of-Service (QoS) routing is a big challenge for Mobile Ad hoc Networks (MANETs) where the topology may change constantly. In this paper a novel QoS Routing Algorithm based on Simulated Anneal... Multi-constrained Quality-of-Service (QoS) routing is a big challenge for Mobile Ad hoc Networks (MANETs) where the topology may change constantly. In this paper a novel QoS Routing Algorithm based on Simulated Annealing (SA_RA) is proposed. This algorithm first uses an energy function to translate multiple QoS weights into a single mixed metric and then seeks to find a feasible path by simulated annealing. The pa- per outlines simulated annealing algorithm and analyzes the problems met when we apply it to Qos Routing (QoSR) in MANETs. Theoretical analysis and experiment results demonstrate that the proposed method is an effective approximation algorithms showing better performance than the other pertinent algorithm in seeking the (approximate) optimal configuration within a period of polynomial time. 展开更多
关键词 Energy function Multi-constrained Quality-of-Service (QoS) routing Nondeterministic polynomial time complete problem polynomial time algorithm Simulated annealing
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Solving the Binary Linear Programming Model in Polynomial Time
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作者 Elias Munapo 《American Journal of Operations Research》 2016年第1期1-7,共7页
The paper presents a technique for solving the binary linear programming model in polynomial time. The general binary linear programming problem is transformed into a convex quadratic programming problem. The convex q... The paper presents a technique for solving the binary linear programming model in polynomial time. The general binary linear programming problem is transformed into a convex quadratic programming problem. The convex quadratic programming problem is then solved by interior point algorithms. This settles one of the open problems of whether P = NP or not. The worst case complexity of interior point algorithms for the convex quadratic problem is polynomial. It can also be shown that every liner integer problem can be converted into binary linear problem. 展开更多
关键词 NP-COMPLETE Binary Linear Programming Convex Function Convex Quadratic Programming Problem Interior Point algorithm and polynomial time
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SINGLE MACHINE SCHEDULING WITH CONTROLLABLE PROCESSING TIMES AND COMPRESSION COSTS (PART I:EQUAL TIMES AND COSTS) 被引量:1
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作者 TANGGUOCHUN FOULDS,L.R. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1998年第4期417-426,共10页
Abstract Most papers in scheduling research have treated individual job processing times as fixed parameters. However, in many practical situations, a manager may control processing time by reallocating resources. In ... Abstract Most papers in scheduling research have treated individual job processing times as fixed parameters. However, in many practical situations, a manager may control processing time by reallocating resources. In this paper, authors consider a machine scheduling problem with controllable processing times. In the first part of this paper, a special case where the processing times and compression costs are uniform among jobs is discussed. Theoretical results are derived that aid in developing an O(n 2) algorithm to slove the problem optimally. In the second part of this paper, authors generalize the discussion to general case. An effective heuristic to the general problem will be presented. 展开更多
关键词 Machine scheduling problems controllable processing times uniform compression timeand cost dominance set lateness crash activities polynomial time algorithm
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SINGLE MACHINE SCHEDULING WITH CONTROLLABLE PROCESSING TIMES AND COMPRESSION COSTS : PROOF OF THEOREMS
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作者 TANGGUOCHUN FOULDS,L.R. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1998年第4期427-436,共10页
Abstract This report is virtually the appendix part of the author's previous paper which includes the proofs for the theorems and lemmas.
关键词 Machine scheduling problems controllable processing times uniform compression time and cost dominance set lateness crash activities polynomial time algorithm
全文增补中
On Scheduling a Deteriorating Rate-Modifying Activity to Minimize the Number of Tardy Jobs
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作者 Wen-Chang Luo 《Journal of the Operations Research Society of China》 EI CSCD 2020年第1期165-175,共11页
We investigate a single-machine scheduling problem,where a deteriorating rate-modifying activity can be performed on the machine to reduce the processing times of jobs.The objective is to minimize the number of tardy ... We investigate a single-machine scheduling problem,where a deteriorating rate-modifying activity can be performed on the machine to reduce the processing times of jobs.The objective is to minimize the number of tardy jobs.Under the assumption that the duration of the rate-modifying activity is a nonnegative and nondecreasing function on its starting time,we propose an optimal polynomial time algorithm running in O(n^(3))time. 展开更多
关键词 SCHEDULING Rate-modifying activity Due date polynomial time algorithm
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