Due  to  increasing  development  of  technology  and  fierce  competitive
environments,  the  most  important  goal  of  decentralized  distribution
networks, which are run by different suppliers, is to maximize revenues
and to increase network reliability. One of the key tools for improving
efficiency  in  the  competitive  environment  is  using  game  theory  and
cooperative games in distribution and transportation networks.
As a matter of fact, the aim of this study is to determine the effective
strategies of cooperative games between suppliers with consideration of
uncertainties in flow parameters, cost and time. The uncertainities are
related to different factors such as, fluctuations in supply and demand,
political  issues,  natural  disasters,  earthquake,  war,  voltage  drop  in
transmission  systems,  and  fluctuations  in  water  distribution  systems.
Therefore,  in  this  study,  two  mathematical  problems  in  certain  and
uncertain  situations  due  to  the  coalitions  of  players  in the  considered
network  are  discussed. Moreover,  reliability  analysis  and  efficient
strategies for  cooperative  games  in  the  form  of  a  case  study  in  water
distribution industry are investigated.