Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose an approach for solving problems of optimal resource capacity allocation to a collection of stochastic dynamic competitors. In particular,  introduce the knapsack problem for perishable items, which concerns the optimal dynamic allocation of a limited knapsack to a collection of perishable or non-perishable items.  formulate the problem in the framework of Markov decision processes,  relax and decompose it, and  design a novel index-knapsack heuristic which generalizes the index rule and it is optimal in some specific instances. Such a heuristic bridges the gap beten static/deterministic optimization and dynamic/stochastic optimization by stressing the connection beten the classic knapsack problem and dynamic resource allocation. The performance of the proposed heuristic is evaluated in a systematic computational study, showing an exceptional near-optimality and a significant superiority over the index rule and over the benchmark earlier-deadline-first policy. Finally  extend our results to several related revenue management problems.
['Peter Jacko']
I am writing a research paper on a idea Resource capacity allocation to stochastic dynamic competitors: knapsack problem for perishable items and index-knapsack heuristic
[{"from": "human", "value": "I am writing a research paper on a idea Resource capacity allocation to stochastic dynamic competitors: knapsack problem for perishable items and index-knapsack heuristic"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose an approach for solving problems of optimal resource capacity allocation to a collection of stochastic dynamic competitors. In particular,  introduce the knapsack problem for perishable items, which concerns the optimal dynamic allocation of a limited knapsack to a collection of perishable or non-perishable items.  formulate the problem in the framework of Markov decision processes,  relax and decompose it, and  design a novel index-knapsack heuristic which generalizes the index rule and it is optimal in some specific instances. Such a heuristic bridges the gap beten static/deterministic optimization and dynamic/stochastic optimization by stressing the connection beten the classic knapsack problem and dynamic resource allocation. The performance of the proposed heuristic is evaluated in a systematic computational study, showing an exceptional near-optimality and a significant superiority over the index rule and over the benchmark earlier-deadline-first policy. Finally  extend our results to several related revenue management problems."}]