We focus on the joint production planning of complex supply chains facing stochastic demands and being constrained by carbon emission reduction policies. We pick two typical carbon emission reduction policies to research how emission regulation influences the profit and carbon footprint of a typical supply chain. We use the input-output model to capture the interrelated demand link between an arbitrary pair of two nodes in scenarios without or with carbon emission constraints. We design optimization algorithm to obtain joint optimal production quantities combination for maximizing overall profit under regulatory policies, respectively. Furthermore, numerical studies by featuring exponentially distributed demand compare systemwide performances in various scenarios. We build the “carbon emission elasticity of profit (CEEP)” index as a metric to evaluate the impact of regulatory policies on both chainwide emissions and profit. Our results manifest that by facilitating the mandatory emission cap in proper installation within the network one can balance well effective emission reduction and associated acceptable profit loss. The outcome that CEEP index when implementing Carbon emission tax is elastic implies that the scale of profit loss is greater than that of emission reduction, which shows that this policy is less effective than mandatory cap from industry standpoint at least.

In today's post-industrial society, mass production poses a grave threat onto the world's ecological system and the human race. A mountain of waste covers the land which people rely on for survival. Product distributors should deliver goods and recycle waste bottles during the same time periods in order to save energy. Petroleum and other power based energy comsumes lot of natural resources. This study tries to focus on discussing optimization product distribution and waste bottle recycling routes using improved Simulated Annealing heuristics (SAH) approach. The revised and extended mathematic model and new proposed soft computing method are the main topics in this study. Through validations, the study offered foundamental data for optimization of this problem for future study. The industries also can improve their routes using improved SA heuristics approach. Future research suggests comparing more heuristics results with this SAH results.