On the balancedness of multiple machine sequencing games

Article Abstract:

A study investigated sequencing situations where no restrictions on the jobs are imposed on m parallel and identical machines. Each agent has one job that has to be processed on precisely one machine. The weighted completion time criterion is used. It will be shown that these sequencing situations give rise to a class of m-sequencing games. Furthermore, it will be proven that an m-sequencing game is balanced if and only if the corresponding m-machine game is balanced.

Scheduling (Management), Game theory

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An optimal maintenance model fo a combination of secondhand-new or outdated-updated system

Article Abstract:

A study investigated optimal maintenance policy in a very general maintenance problem for a secondhand-new or outdated-updated system. No assumption is made regarding successive operating times and consecutive repair times except the independence. Two numerical examples are used to illustrate and explain the application of the proposed model and methodology. It will be shown that an optimal policy (n*, N*) is at least as good as an optimal policy (t*, T*).

Markov processes, Maintenance

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On the concavity of delivery games

Article Abstract:

Delivery games based on the Chinese postman problem are a new class of combinatorial optimization games that exhibit concavity properties. Analysis of delivery games indicated the concavity of delivery problems that arise from bridge-connected cyclic graphs. Furthermore, the bridge-connected cyclic graph exhibited concavity under conditions in which the underlying graph was formed by the union of a circuit and a bridge.

Operations Research, Management science, Analysis, Inventory control, Delivery of goods, Deliveries (Transportation)

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