Abstract This paper studies a generalization of the shortest path tour problem with time windows ( GSPTPTW ). The aim is to find single-origin single-destination path, which has pass through an ordered sequence not necessarily disjoint node-subsets. Each node window for each node-subset it belongs. We investigate theoretical properties and propose dynamic programming approach solve it. Numerica...

Summary Lag windows are commonly used in time series analysis, econometrics, steady-state simulation and Markov chain Monte Carlo to estimate time-average covariance matrices. In the presence of positive correlation underlying process, estimators this matrix almost always exhibit significant negative bias, leading undesirable finite-sample properties. We propose a new family lag specifically de...

this paper discusses the multi-depot vehicle routing problem of heterogeneous fleet of vehicles with time windows for perishable commodities. the objective of the problem is to minimize the total time required for servicing all customers that is equivalent to the total cost. commodities are delivered to the customers with defined time windows by a fleet of heterogeneous vehicles, which have lim...

We study a new variant of the well-studied vehicle routing problem with time windows (VRPTW), called fragility-constrained VRPTW, which assumes that (1) capacity is organized in multiple identical stacks; (2) all items picked up at customer are either “fragile” or not; (3) no nonfragile can be put on top fragile item (the fragility constraint); and (4) en route load rearrangement possible. firs...