Supply chain transportation operations often account for a large proportion of product total cost to market. Such can be optimized by solving the Logistics Service Network Design Problem (LSNDP), wherein logistics service provider seeks cost-effectively source and fulfill customer demands products within multi-echelon distribution network. However, many industrial settings yield instances LSNDP...

Osburn and Schneider recently derived several combinatorial identities involving harmonic numbers using the computer programm Sigma. Here, they are derived by partial fraction decomposition and creative telescoping.

The Goursat partial differential equation arises in linear and non linear partial differential equations with mixed derivatives. This equation is a second order hyperbolic partial differential equation which occurs in various fields of study such as in engineering, physics, and applied mathematics. There are many approaches that have been suggested to approximate the solution of the Goursat par...

The partial fraction decomposition method is employed to establish two general algebraic identities, which contain consequently several binomial identities and their q–analogues as special cases.