A possibility for siege options could be
Attacker
1) Starve out: attacker simply waits for enemy supplies to run out, perhaps some small attrition of forces based on artillery advantage and generals
2) Bombardment: besieger artillery and siege artillery and besieged fort artillery and artillery batteries can fire. Possible reduction of the fort defensive strenght, casualties based on artillery strenghts and current fort strenght and generals.
3)Limited assault : besieger artillery and siege artillery can fire, infantry units perform a probing attack, the attack is halted when moderate casualties are taken. All defending units can fight. casualties based on opposing forces and fort defensive strenght and generals
4)Full attack : besieger artillery units can fire, infantry are ordered to charge the ramparts, attack is only halted after heavy casulaties are taken. All defending units fight.casualties based on opposing forces and fort defensive strenght and generals.
Depending on the attacking generals rating there should be a possibility of a fumbling of the attack ( either making a cold harbor type attack, or not making the attack at all something along those lines)
Possible defender options
1) conserve your ammo: defender artillery will not defend against enemy bombardment, this will conserve your ammo supplies but the enemy will have a better chance of reducing the fort defense strenght.
2) hold to the last man: supplies are rationed reducing the amount needed per turn but increasing attrition.
3) break out : defenders will try to break through the encirclement and escape with as many troops as possible. odds based on opposing troop strenght (cavalry regiments should give a bonus/penalty depending on who has the advantage here), duration of siege (the longer the siege has been in progress, the harder it will be to escape) and skill of generals.
4) Conditional surrender: the defender surrenders the fort but is allowed to leave with his forces unmolested.
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